131 citations · 386 across the 41 of their papers we have counts for
3 papers · 1 filter
Lagrangian for the Convection-Diffusion Equation
Jacky Cresson, Isabelle Greff, Pierre Inizan
Using the asymmetric fractional calculus of variations, we derive a fractional Lagrangian variational formulation of the convection-diffusion equation in the special case of consta…
Discrete embeddings for Lagrangian and Hamiltonian systems
Jacky Cresson, Isabelle Greff, Charles Pierre
The general topic of the present paper is to study the conservation for some structural property of a given problem when discretising this problem. Precisely we are interested with…
Variational integrator for fractional Euler-Lagrange equations
Loïc Bourdin, Jacky Cresson, Isabelle Greff +1
We extend the notion of variational integrator for classical Euler-Lagrange equations to the fractional ones. As in the classical case, we prove that the variational integrator all…